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Finding the Fourth Proportional to 25,216.76, 37,825.34 and 8,580.57

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Solution

The fourth proportional to 25,216.76, 37,825.34 and 8,580.57 is: 12,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.76 : 37,825.34 = 8,580.57 : x
  2. Step 2: Convert to fraction form
    25,216.76/37,825.34 = 8,580.57/x
  3. Step 3: Cross multiply
    25,216.76x = 37,825.34 × 8,580.57
  4. Step 4: Simplify right side
    25,216.76x = 324,562,934.74
  5. Step 5: Solve for x
    x = 324,562,934.74/25,216.76
  6. Step 6: Final answer
    x = 12,870.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.